We study giant resonances; using the self-consistent Hartree-Fock calculati
on plus the random phase approximation with Skyrme interactions. including
simultaneously both the isoscalar and the isovector correlation the RPA res
ponse function is calculated in the coordinate space, so as to take properl
y into account the continuum effect. Giant monopole states are discussed in
relation with the nuclear compression modulus of the nuclear matter K-nm.
The core polarization charges are also discussed in comparison with recent
empirical data in Sn-100 region.